Inverse numerical iterative technique for finding all roots of nonlinear equations with engineering applications

DOI10.1155/2021/6643514zbMath1477.65077OpenAlexW3118327462MaRDI QIDQ1983392

Babar Ahmad, Nazir Ahmad Mir, Mudassir Shams, Naila Rafiq

Publication date: 10 September 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/6643514

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (3)

ON INVERSE ITERATION PROCESS FOR FINDING ALL ROOTS OF NONLINEAR EQUATIONS WITH APPLICATIONS ⋮ On highly efficient derivative-free family of numerical methods for solving polynomial equation simultaneously ⋮ Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation

Uses Software

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Cites Work

• Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation
• Convergence of Newton, Halley and Chebyshev iterative methods as methods for simultaneous determination of multiple polynomial zeros
• Convergence of the two-point Weierstrass root-finding method
• Some families of two-step simultaneous methods for determining zeros of nonlinear equations
• On a family of Weierstrass-type root-finding methods with accelerated convergence
• On dynamics of iterative techniques for nonlinear equation with applications in engineering
• Finding the roots of a polynomial on an MIMD multicomputer
• On some methods for the simultaneous determination of polynomial zeros
• Study of dynamical behavior and stability of iterative methods for nonlinear equation with applications in engineering
• On the convergence of high-order Gargantini-Farmer-Loizou type iterative methods for simultaneous approximation of polynomial zeros
• A convergence analysis of a fourth-order method for computing all zeros of a polynomial simultaneously
• Convergence analysis of Sakurai-Torii-Sugiura iterative method for simultaneous approximation of polynomial zeros
• An improvement on two iteration methods for simultaneous determination of the zeros of a polynomial
• Iteration Methods for Finding all Zeros of a Polynomial Simultaneously
• Optimal Order of One-Point and Multipoint Iteration

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